{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a538aa17-05e7-483c-8eb5-deada1277d65",
   "metadata": {},
   "source": [
    "Chapter 03\n",
    "\n",
    "# 方差分析，多元线性回归\n",
    "Book_7《机器学习》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "de72c128-516f-45b2-ad8a-b9faba63ca0a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# initializations\n",
    "import pandas as pd\n",
    "# import pandas_datareader as web\n",
    "import yfinance as yf\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy.stats as stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "068a33c6-3347-449f-bf75-2f9994b7540e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[*********************100%%**********************]  13 of 13 completed\n"
     ]
    }
   ],
   "source": [
    "tickers = ['^GSPC','TSLA','WMT','MCD','USB',\n",
    "           'YUM','NFLX','JPM','PFE',\n",
    "           'F','GM','COST','JNJ'];\n",
    "\n",
    "stock_levels_df = yf.download(tickers, start='2020-07-01', end='2020-12-31')\n",
    "# stock_levels_df.to_csv('stock_levels_df.csv')\n",
    "# stock_levels_df.to_pickle('stock_levels_df.pkl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0a820e42-5474-4c14-82f1-620ad339ca8f",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_X_df = stock_levels_df['Adj Close'].pct_change()\n",
    "y_X_df.dropna(inplace = True)\n",
    "\n",
    "y_X_df.rename(columns={\"^GSPC\": \"SP500\"},inplace = True)\n",
    "X_df = y_X_df[tickers[1:]]\n",
    "y_df = y_X_df[['SP500']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0773d00d-adcd-4cd9-9c91-2f9901a12f8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x27dd5322a40>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 599.375x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "labels = ['SP500','TSLA','WMT','MCD','USB',\n",
    "           'YUM','NFLX','JPM','PFE',\n",
    "           'F','GM','COST','JNJ'];\n",
    "\n",
    "#%% Lineplot of stock prices\n",
    "\n",
    "\n",
    "# normalize the initial stock price levels to 1\n",
    "normalized_stock_levels = stock_levels_df['Adj Close']/stock_levels_df['Adj Close'].iloc[0]\n",
    "\n",
    "g = sns.relplot(data=normalized_stock_levels,dashes = False,\n",
    "                kind=\"line\") # , palette=\"coolwarm\"\n",
    "g.set_xlabels('Date')\n",
    "g.set_ylabels('Normalized closing price')\n",
    "g.set_xticklabels(rotation=45)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a6021675-7430-433d-b95c-5e7924a8acc5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax = sns.heatmap(y_X_df,\n",
    "                 cmap='RdBu_r',\n",
    "                 cbar_kws={\"orientation\": \"vertical\"}, \n",
    "                 yticklabels=False,\n",
    "                 vmin = -0.2, vmax = 0.2)\n",
    "plt.title('[y, X]')\n",
    "\n",
    "#%% Heatmap of covariance matrix\n",
    "\n",
    "SIGMA = y_X_df.cov()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b51049d6-cd38-46b9-bc8e-a277af692f8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(SIGMA,cmap='RdBu_r', linewidths=.05)\n",
    "h.set_aspect(\"equal\")\n",
    "\n",
    "vols = np.sqrt(np.diag(SIGMA))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "063a20cd-1d6d-4c3d-9ec2-c3e6d3630933",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Daily volatility (standard deviation)')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.bar(labels,vols)\n",
    "plt.xticks(rotation = 45) \n",
    "# Rotates X-Axis Ticks by 45-degrees\n",
    "plt.ylabel('Daily volatility (standard deviation)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "066003fe-2e2d-45a1-b0a1-2f515879c8fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% Heatmap of correlation matrix\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "# Compute the correlation matrix\n",
    "RHO = y_X_df.corr()\n",
    "\n",
    "h = sns.heatmap(RHO, cmap=\"RdBu_r\",\n",
    "            square=True, linewidths=.05,\n",
    "            annot=False)\n",
    "h.set_aspect(\"equal\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "76423877-5054-479f-b17d-c6d866fe2e37",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.bar(labels,RHO['SP500'].iloc[:].values)\n",
    "plt.xticks(rotation = 45) \n",
    "# Rotates X-Axis Ticks by 45-degrees\n",
    "plt.ylabel('Correlation with S&P 500')\n",
    "RHO.to_excel('corr.xlsx')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "7125199a-9a0e-48fe-9ebd-454df800bc50",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                  SP500   R-squared:                       0.774\n",
      "Model:                            OLS   Adj. R-squared:                  0.750\n",
      "Method:                 Least Squares   F-statistic:                     32.24\n",
      "Date:                Tue, 14 Nov 2023   Prob (F-statistic):           5.73e-31\n",
      "Time:                        16:51:56   Log-Likelihood:                 489.68\n",
      "No. Observations:                 126   AIC:                            -953.4\n",
      "Df Residuals:                     113   BIC:                            -916.5\n",
      "Df Model:                          12                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         -0.0005      0.000     -0.974      0.332      -0.001       0.000\n",
      "TSLA           0.0242      0.011      2.186      0.031       0.002       0.046\n",
      "WMT            0.0268      0.041      0.654      0.514      -0.054       0.108\n",
      "MCD            0.1495      0.058      2.591      0.011       0.035       0.264\n",
      "USB            0.0160      0.051      0.314      0.754      -0.085       0.117\n",
      "YUM            0.1425      0.048      2.974      0.004       0.048       0.237\n",
      "NFLX           0.0986      0.022      4.562      0.000       0.056       0.141\n",
      "JPM            0.1445      0.055      2.618      0.010       0.035       0.254\n",
      "PFE            0.0550      0.033      1.671      0.098      -0.010       0.120\n",
      "F             -0.0084      0.036     -0.230      0.818      -0.080       0.064\n",
      "GM            -0.0110      0.027     -0.403      0.687      -0.065       0.043\n",
      "COST           0.2173      0.059      3.697      0.000       0.101       0.334\n",
      "JNJ            0.2435      0.056      4.366      0.000       0.133       0.354\n",
      "==============================================================================\n",
      "Omnibus:                        7.496   Durbin-Watson:                   1.866\n",
      "Prob(Omnibus):                  0.024   Jarque-Bera (JB):                8.449\n",
      "Skew:                           0.393   Prob(JB):                       0.0146\n",
      "Kurtosis:                       3.997   Cond. No.                         156.\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
      "const   -0.000477\n",
      "TSLA     0.024235\n",
      "WMT      0.026790\n",
      "MCD      0.149515\n",
      "USB      0.015993\n",
      "YUM      0.142530\n",
      "NFLX     0.098644\n",
      "JPM      0.144459\n",
      "PFE      0.055010\n",
      "F       -0.008375\n",
      "GM      -0.010972\n",
      "COST     0.217285\n",
      "JNJ      0.243532\n",
      "dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% Volatility vector space\n",
    "\n",
    "Angles = np.arccos(RHO)*180/np.pi\n",
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(Angles, annot=False,cmap='RdBu_r',\n",
    "                vmin = 30, vmax = 115)\n",
    "h.set_aspect(\"equal\")\n",
    "Angles.to_excel('output.xlsx')\n",
    "#%% Regression\n",
    "\n",
    "import statsmodels.api as sm\n",
    "\n",
    "# add a column of ones\n",
    "X_df = sm.add_constant(X_df)\n",
    "\n",
    "model = sm.OLS(y_df, X_df)\n",
    "results = model.fit()\n",
    "print(results.summary())\n",
    "\n",
    "p = model.fit().params\n",
    "print(p)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
